Just bought a Samsung Nexus S. No manual came with it. Apparently the moving default screensaver eats up heaps of battery life and I am not getting much battery life out of this new phone and I am constantly recharging.

1 Answer
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From the home screen, press the phone's Menu button. Here, there is usually a button for Wallpaper (it will be the top right button on the menu), where you should be able to pick your wallpaper (this applies to your background and lockscreen).